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Finding the Fourth Proportional to 33.09, 45.64 and 22.71

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Solution

The fourth proportional to 33.09, 45.64 and 22.71 is: 31.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.09 : 45.64 = 22.71 : x
  2. Step 2: Convert to fraction form
    33.09/45.64 = 22.71/x
  3. Step 3: Cross multiply
    33.09x = 45.64 × 22.71
  4. Step 4: Simplify right side
    33.09x = 1,036.26
  5. Step 5: Solve for x
    x = 1,036.26/33.09
  6. Step 6: Final answer
    x = 31.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.